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|metadata.dc.type:||Artigo de Periódico|
|Title:||Kinetic theory of vehicular traffic|
|metadata.dc.creator:||Mauro Lúcio Lobão Iannini|
|metadata.dc.description.resumo:||We review the kinetic theory of traffic proposed by Prigogine and Herman in which the Boltzmann equation is adapted to vehicular traffic. The kinetic equation and its solution are discussed, and a novel distribution of desired velocities that is more suitable for describing real traffic conditions is analyzed. We also study the stationary velocity distribution at the transition between individual and collective flow patterns. At this transition, the distribution splits into a smoothly varying regular part, in which vehicles have nonzero velocities, and a singular one, corresponding to stopped vehicles. Computational methods for obtaining the stationary velocity distribution and the full space-time evolution of the vehicular distribution are explained.|
|Publisher:||Universidade Federal de Minas Gerais|
|metadata.dc.publisher.department:||ICX - DEPARTAMENTO DE FÍSICA|
|Issue Date:||8-Jul- 25|
|Appears in Collections:||Artigo de Periódico|
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